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Determine whether the statement makes sense or does not make​ sense, and explain your reasoning.

I solved a problem involving the number of possible outcomes when selecting from two​ groups, which required me to use both the formula for nCr and the Fundamental Counting Principle.

A.
This statement does not make sense because this problem requires use of​ permutations, not combinations.
B.
This statement makes sense because the formula for is needed to count the number of outcomes for each group and then the Fundamental Counting Principle is needed to find the total number of outcomes.
C.
This statement makes sense because the Fundamental Counting Principle is needed to count the number of outcomes for each group and then the formula for is needed to find the total number of outcomes.
D.
This statement does not make sense because the Fundamental Counting Principle is not needed to solve this problem.

User Viviane
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1 Answer

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Explanation:

The statement makes sense.

The problem involved selecting from two groups, which suggests that there are two distinct sets of items from which choices are made. In such cases, the number of possible outcomes can indeed be calculated using both the formula for nCr (combination formula) and the Fundamental Counting Principle.

The combination formula, nCr, is used when you want to calculate the number of ways to select r objects from a set of n distinct objects without regard to the order of selection.

The Fundamental Counting Principle is used when you want to calculate the total number of outcomes by multiplying the number of choices available for each step in a sequence of events.

By using both the combination formula and the Fundamental Counting Principle, you were likely able to solve the problem by considering the different ways to select objects from each group and then combining them using the multiplication principle.

Therefore, the statement makes sense as both techniques are relevant and helpful in solving the problem involving the number of possible outcomes when selecting from two groups.

User SuperCheezGi
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